The Bifurcation Interpreter: A Step towards the Automatic Analysis of Dynamical Systems

Abstract

The Bifurcation Interpreter is a computer program that autonomously explores the steady-state orbits of one-parameter families of periodically- driven oscillators. To report its findings, the Interpreter generates schematic diagrams and English text descriptions similar to those appearing in the science and engineering research literature. Given a system of equations as input, the Interpreter uses symbolic algebra to automatically generate numerical procedures that simulate the system. The Interpreter incorporates knowledge about dynamical systems theory, which it uses to guide the simulations, to interpret the results, and to minimize the effects of numerical error.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1989
Accession Number
ADA214618

Entities

People

  • Harold Abelson

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Catalogs
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Programs
  • Diagrams
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometry
  • Grids
  • Identification
  • Navier Stokes Equations
  • Sequences
  • Steady State
  • Two Dimensional

Readers

  • Computational Linguistics
  • Control Systems Engineering.

Technology Areas

  • Space